Question

If x = -6, which inequality is true, -5 - 3x > 10, -3 - 5x < -14 or 2-x < -3?

Answer 1

If x = -6
we can subtitution x to every inequality, so :
-5 - 3x > 10
-5 - 3(-6) > 10
-5 - (-18) > 10
-5 + 18 > 10
13 > 10 [true]

-3 - 5x < -14
-3 - 5(-6) < -14
-3 - (-30) < -14
-3 + 30 < -14
27 < -14 [false]

2 - x < -3
2 - (-6) < -3
2 + 6 < -3
8 < -3 [false]

So if x=-6, inequality true is -5 - 3x > 10.